Visco-elastic-plastic modeling

Abstract

In this paper we deal with the mathematical modellng of rheological models with applications in various engineering disciplines and industry. We study the mechanical responsevisco-elasto-plastic materials. We describe the basic rheological elements and focus our attention to the specific model of concrete, for which we derive governing equations and discuss its solution. We provide an application of rheological model involving rigid-plastic element as well - mechanical and mathematical model of failure of one dimensional construction member, straight beam. Herein, the physical model is considered with a homogeneous isotropic material of the beam, quasi static regime is supposed.